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偏振敏感光学相干断层扫描中正交各向异性介质的逆散射问题

The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography.

作者信息

Elbau Peter, Mindrinos Leonidas, Scherzer Otmar

机构信息

1Computational Science Center, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria.

2Johann Radon Institute for Computational and Applied Mathematics (RICAM), Altenbergerstraße 69, 4040 Linz, Austria.

出版信息

GEM. 2018;9(1):145-165. doi: 10.1007/s13137-017-0102-y. Epub 2017 Dec 27.

DOI:10.1007/s13137-017-0102-y
PMID:29606983
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5869888/
Abstract

In this paper we provide for a first time, to our knowledge, a mathematical model for imaging an anisotropic, orthotropic medium with polarization-sensitive optical coherence tomography. The imaging problem is formulated as an inverse scattering problem in three dimensions for reconstructing the electrical susceptibility of the medium using Maxwell's equations. Our reconstruction method is based on the second-order Born-approximation of the electric field.

摘要

据我们所知，本文首次提供了一种用于对各向异性、正交异性介质进行偏振敏感光学相干断层成像的数学模型。成像问题被表述为一个三维逆散射问题，即利用麦克斯韦方程组重建介质的电极化率。我们的重建方法基于电场的二阶玻恩近似。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7df4/5869888/cdabd672ca21/13137_2017_102_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7df4/5869888/26d13a50e057/13137_2017_102_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7df4/5869888/cdabd672ca21/13137_2017_102_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7df4/5869888/26d13a50e057/13137_2017_102_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7df4/5869888/cdabd672ca21/13137_2017_102_Fig2_HTML.jpg

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本文引用的文献

1
Measurement and imaging of birefringence and optic axis orientation by phase resolved polarization sensitive optical coherence tomography.通过相位分辨偏振敏感光学相干断层扫描技术测量双折射和光轴方向并进行成像。
Opt Express. 2001 Dec 17;9(13):780-90. doi: 10.1364/oe.9.000780.
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Imaging thermally damaged tissue by Polarization Sensitive Optical Coherence Tomography.利用偏振敏感光学相干断层扫描技术对热损伤组织进行成像。
Opt Express. 1998 Sep 14;3(6):212-8. doi: 10.1364/oe.3.000212.
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Mapping of Birefringence and Thermal Damage in Tissue by use of Polarization-Sensitive Optical Coherence Tomography.
Appl Opt. 1998 Sep 1;37(25):6026-36. doi: 10.1364/ao.37.006026.
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Two-dimensional birefringence imaging in biological tissue by polarization-sensitive optical coherence tomography.利用偏振敏感光学相干断层扫描技术对生物组织进行二维双折射成像。
Opt Lett. 1997 Jun 15;22(12):934-6. doi: 10.1364/ol.22.000934.
5
Two-dimensional depth-resolved Mueller matrix of biological tissue measured with double-beam polarization-sensitive optical coherence tomography.采用双光束偏振敏感光学相干断层扫描测量生物组织的二维深度分辨穆勒矩阵。
Opt Lett. 2002 Jan 15;27(2):101-3. doi: 10.1364/ol.27.000101.
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Scattering of electromagnetic fields of any state of coherence from space-time fluctuations.来自时空涨落的任意相干态电磁场的散射。
Phys Rev A Gen Phys. 1989 Jul 15;40(2):579-587. doi: 10.1103/physreva.40.579.